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Finding the Fourth Proportional to 7,889.02, 11,834.58 and 2,342.43

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Solution

The fourth proportional to 7,889.02, 11,834.58 and 2,342.43 is: 3,513.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.02 : 11,834.58 = 2,342.43 : x
  2. Step 2: Convert to fraction form
    7,889.02/11,834.58 = 2,342.43/x
  3. Step 3: Cross multiply
    7,889.02x = 11,834.58 × 2,342.43
  4. Step 4: Simplify right side
    7,889.02x = 27,721,675.23
  5. Step 5: Solve for x
    x = 27,721,675.23/7,889.02
  6. Step 6: Final answer
    x = 3,513.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.